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This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobordism invariant for manifolds in terms of modular forms. The book evolved from notes of a course given at the University of Bonn. After providing some background material elliptic genera are constructed, including the classical genera signature and the index of the Dirac operator as special cases. Various properties of elliptic genera are discussed, especially their behaviour in fibre bundles and rigidity for group actions. For stably almost complex manifolds the theory is extended to elliptic genera of higher level. The text is in most parts self-contained. The results are illustrated by explicit examples and by comparison with well-known theorems. The relevant aspects of the theory of modular forms are derived in a seperate appendix, providing also a useful reference for mathematicians working in this field.
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Book Description Vieweg+Teubner Verlag, 1994. Paperback. Condition: Brand New. 2nd edition. 223 pages. 9.00x6.25x0.75 inches. In Stock. Seller Inventory # __352816414X
Book Description Vieweg+Teubner Verlag, 1994. Paperback. Condition: NEW. 9783528164140 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0418631
Book Description Vieweg+Teubner Verlag, 1994. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9783528164140
Book Description Vieweg+Teubner Verlag, 2013. Condition: New. book. Seller Inventory # M352816414X